Revisiting Jackson-Hunt calculations: Unified theoretical analysis for generic multi-phase growth in a multi-component system
Revisiting Jackson-Hunt calculations: Unified theoretical analysis for generic multi-phase growth in a multi-component system
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重温 Jackson-Hunt 计算：多组分系统中通用多相生长的统一理论分析
DOI：
10.1016/j.actamat.2017.05.047
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发表时间：
2016
期刊：
影响因子：
9.4
通讯作者：
A. Choudhury
中科院分区：
文献类型：
--
作者：
A. Lahiri;A. Choudhury
由于缺少所需数量的方程来确定界面前的边界层组成，因此用于定向凝固多相生长（其中组分的数量超过固相的数量）的Jackson-Hunt理论的直接扩展变得困难。因此，在本文中，我们重新审视杰克逊-亨特（JH）型计算的任何给定的情况下，在多组分系统中的多相生长和自洽推导的变化的固相的组成以及它们的体积分数，这增长，使复合材料的固-液界面是等温的。这使我们能够统一的（JH）计算方案不变，以及多变量共晶反应。推导出的解析表达式，然后利用不同的溶质扩散系数和界面能上的过冷度和凝固分数的影响进行研究。我们还进行相场模拟，以确认我们的理论预测，并找到一个很好的协议，我们的分析计算和模型预测模型对称合金以及一个特定的Ni-Al-Zr合金。
A straight-forward extension of the Jackson-Hunt theory for directionally solidifying multi-phase growth where the number of components exceeds the number of solid phases becomes difficult on account of the absence of the required number of equations to determine the boundary layer compositions ahead of the interface. In this paper, we therefore revisit the Jackson-Hunt(JH) type calculations for any given situation of multi-phase growth in a multi-component system and self-consistently derive the variations of the compositions of the solid phases as well as their volume fractions, which grow such that the composite solid-liquid interface is isothermal. This allows us to unify the (JH) calculation schemes for both in-variant as well as multi-variant eutectic reactions. The derived analytical expressions are then utilized to study the effect of dissimilar solute diffusivities and interfacial energies on the undercoolings and the solidified fractions. We also perform phase field simulations to confirm our theoretical predictions and find a good agreement between our analytical calculations and model predictions for model symmetric alloys as well as for a particular Ni-Al-Zr alloy.
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估算三元共晶体系有序和晶格参数的新金相方法
DOI：
10.1007/s13632-013-0072-x
发表时间：
2013
期刊：
Metallography, Microstructure, and Analysis
影响因子：
--
作者：
A. Dennstedt;L. Ratke;A. Choudhury;B. Nestler
通讯作者：
B. Nestler
影响因子：
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作者：
P. Steinmetz;M. Kellner;J. Hötzer;A. Dennstedt;B. Nestler
通讯作者：
P. Steinmetz;M. Kellner;J. Hötzer;A. Dennstedt;B. Nestler
影响因子：
3.3
作者：
P. Steinmetz;J. Hötzer;M. Kellner;A. Dennstedt;B. Nestler
通讯作者：
P. Steinmetz;J. Hötzer;M. Kellner;A. Dennstedt;B. Nestler
影响因子：
9.4
作者：
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通讯作者：
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